#01. Express as a polynomial.
(a) 12x^3 + 9x^2 - 13x + 1
(b) x^3 + 2x^2 + 3x + 5
(c) 6x^2 - 19x - 35
(d) 15x^2 + 26xy + 8y^2
(e) 4x^2 - 23xy + 15y^2
(f) 2u^2 - 5u - 12
(g) 6x^3 + 37x^2 - 10x - 25
(h) x^4 - 2x^3 + 3x^2 + 4x - 24
(i) 3t^4 + 5t^3 - 7t^2 - 3t + 10
(j) 2x^6 + 10x^4 + x^3 + 5x
(k) 4xy
(l) 2a^2b - 3b^3
(m) u^5v^2 - 2u^3v^2 + u^2v^4
(n) 4x^2 - 49y^2
(o) x^4 - 25y^2
(p) x^4 + 5x^2 - 36
(q) 9x^2 + 12xy + 4y^2
(r) x^4 - 10x^2y^2
(s) x - y
(t) x - y
(u) x^3 - 6x^2 + 12x - 8
(v) 8x^3 + 36x^2 + 54x + 27
(w) a^2 + b^2 + c^2 - 2ab + 2ac - 2bc
(x) x^4 + 2x^3 + 3x^2 + 2x + 1
(y) y^4 - 2y^3 + 5y^2 - 4y + 4
#02. Factor the polynomial.
(a) s(r + 4t)
(b) 3a^2b(b - 2)
(c) 5x^3y^2(3y - 5x) + 10x^2y^4(3x - 5y)
(d) (8x + 3)(x - 7)
(e) (7x - 2)(x + 4)
(f) x^2 + 4x + 5
(g) (3x - 2)^2 + 2
(h) (12x - 5)(x - 3)
(i) (21x + 10)(x + 1)
(j) (6x - 5)^2
(k) (5z + 3)(5z + 3)
(l) (8r + 5t)(8r - 5t)
(m) (z^2 - 8w)(z^2 + 8w)
(n) (x^2 - 4)(x^2 + 4)
(o) (2x + 3)(2x - 3)
(p) (2x + 3i)(2x - 3i)
(q) (5x + 4y)(15x - 12y)
(r) (4x + 3)(16x^2 - 12x + 9)
(s) (2x - y^2)(4x^2 + 2xy + y^2)
(t) 2a(x - 3b) + y(a - 3b)
(u) 3(x^2 - 3)(x + 3)
(v) 5(x^2 - 4)(x + 2)
(w) (x^2 - 1)(x^2 + 2x - 1)
(x) (x^4 - 4)(x^4 + 4)
(y) (x + 2)^2 - 9y^2